Nuprl Lemma : geo-sep-irrefl_gt-prim
∀e:EuclideanPlane. ∀a,b,c:Point. (¬aa>bc)
Proof
Definitions occuring in Statement :
euclidean-plane: EuclideanPlane,
geo-gt-prim: ab>cd,
geo-point: Point,
all: ∀x:A. B[x],
not: ¬A
Definitions unfolded in proof :
all: ∀x:A. B[x],
not: ¬A,
implies: P ⇒ Q,
false: False,
member: t ∈ T,
uall: ∀[x:A]. B[x],
subtype_rel: A ⊆r B,
guard: {T},
uimplies: b supposing a,
prop: ℙ,
or: P ∨ Q,
stable: Stable{P},
geo-eq: a ≡ b,
iff: P ⇐⇒ Q,
and: P ∧ Q,
geo-sep: a # b,
euclidean-plane: EuclideanPlane,
sq_stable: SqStable(P),
squash: ↓T,
cand: A c∧ B,
geo-ge: ab ≥ cd,
basic-geo-axioms: BasicGeometryAxioms(g)
Latex:
\mforall{}e:EuclideanPlane. \mforall{}a,b,c:Point. (\mneg{}aa>bc)
Date html generated:
2020_05_20-AM-09_46_06
Last ObjectModification:
2020_01_27-PM-10_51_34
Theory : euclidean!plane!geometry
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